Alec keeps his pens, pencils, and erasers in a plastic box that is shaped like a rectangular prism. Alec's box is 25 centimeters long, 6 centimeters wide, and 4 centimeters tall. What is the volume of Alec's plastic box?

Answer:

-48/15, simplified to -16/5

Step-by-step explanation:

The reciprocal of -3/8 is -8/3. So the equation will be 6/5 x -8/3. Multiply numerators then multiply denominators to get -48/15. This can simplify to -16/5 by dividing both by 3.

Answer:

Step-by-step explanation:

hello :

6/5 by the reciprocal of (-3/8)  means : ( 6/5 )(-8/3) = - 48/15 = -16/5

Answer:

y=3    x= -5/2

Step-by-step explanation:

simultaneous equations

2x + 4y = 7  ------ eq 1

-2x + 3y = 14 --------eq2

(different signs add)

(eq 2 + eq 1)

-2x +(-2x) = 0

4y+3y = 7y

7+14 = 21

7y= 21

(divide both sides by 7)

y= 21/7= 3

2x + 4(3) = 7

2x+ 12=7

2x = 7-12

2x = -5

x= -5/2

Answer:

i think the answer is B, C and D

Answer:

D

Step-by-step explanation:

The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.

The total surface area of a room would be the walls of the room. this is because the roof and the floor would be excluded

The wrapper of an ice-cream cone excludes the base and the top. Thus it is an example of the lateral surface area

The air in a basketball can qualify as the volume of the basketball (a sphere)

Answer:

D. The air in a basketball.​

Step-by-step explanation:

Given:

The equation of the circle is:

[tex]x^2+y^2=16[/tex]

To find:

The radius of the circle.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]              ...(i)

Where, (h,k) is the center and r is the radius.

We have,

[tex]x^2+y^2=16[/tex]

In can be written as:

[tex]x^2+y^2=4^2[/tex]                 ...(ii)

On comparing (i) and (ii), we get

[tex]h=0[/tex]

[tex]k=0[/tex]

[tex]r=4[/tex]

Here, the center of the circle is the origin and the radius is equal to 4 units.

Therefore, the radius of the given circle is 4 units.

Answer:

11.1 feet

Step-by-step explanation:

When you are given a right triangle with a given angle and side, you can use

trigonometric functions to calculate missing side lengths or inverse functions for angles based on this information.

These ratios can be remembered by the mnemonic:

SOH CAH TOA.

S O H → Sin (Sine) = Opposite / Hypotenuse

C A H → Cos (Cosine) = Adjacent / Hypotenuse

T O A → Tan (Tangent) = Opposite / Adjacent

______________________________________

The Opposite side is the side directly across from the angle, The adjacent (next to) side is the side other than the hypotenuse or opposite side, and the hypotenuse is the longest side.

Given that we are trying to find the adjacent side, we must use the cos (cosine) function because that can be multiplied by the hypotenuse to give us the adjacent side we are looking for.

Therefore, 36 [Hypotenuse Side] × cos(72°) = Adjacent Side.

Because: 36 = Hypotenuse Side.

cos(72)° = Adjacent Side / Hypotenuse Side.

36 × cos(72°) =

36 × 0.309016994374... = 11.12461179749... ≈ 11.1

Answer:

2/5 or 40% chance

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

if you look below girls (in total) bought 100 pepsi colas and thats half of the total (200)

Answer:

o6.15 B

Step-by-step explanation:

Answer:

0. | 2

Step-by-step explanation:

I took (0.2) and made an equal sign and gave me 0. | 2

Answer:

I didn't understand your question

Answer: x=12

Step-by-step explanation:

5x-15=2x+21(AIA)

3x-15=21

3x=36

x=12

Answer:

6 words per minute

Step-by-step explanation:

Divide 36 by 6 minutes to find how many words per minute

Answer:

6 words per minute

Step-by-step explanation:

36 words/ 6 minutes = 6 words per minute

Answer:3 7/10

Step-by-step explanation:

Answer:

wait, it only 25 points...

Step-by-step explanation:

Answer:

2 yards

Step-by-step explanation:

As per its definition, the diameter is the largest line that can be drawn from end to end of a circle, the diameter will always pass through the center of a cricle. The radius of a circle is a line drawn from the center of a circle to one of its sides. The diameter is always twice the measure of the raidus.

Applying this knowledge here, when given a radius of (1) yard, the diameter will be twice the length, and thus it will be (2) yards.

Answer:

Step-by-step explanation:

In this section, we will focus on graphing hyperbolas that open left and right or ... To easily sketch the asymptotes we make use of two special line segments ... From the center (5,4), mark points 3 units left and right as well as 2 units up and down. ... standard form for the equation of a hyperbola given the following information.

Answer:

32 days

Step-by-step explanation:

4 ÷ ⅛ =

4 × 8 = 32 days

Answer:

32 days

Step-by-step explanation:

4kg÷⅛ of a kg

=4/1× 8/1.......... that is the reciprocal of ⅛

=32 days

Answer:

x ≈ 14.6

Step-by-step explanation:

Assuming the triangle is right.

Using the sine ratio

sin55° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )

x × sin55° = 12 ( divide both sides by sin55°

x = [tex]\frac{12}{sin55}[/tex] ≈ 14.6 ( to 1 dec. place )

Answer:

24? because the measure of 12 is half the size of x then the other half should be 12 too so i think 24. I AM VERY SORRY IF ITS WRONG!!!!!!!

Enter a problem...

Algebra Examples

Popular Problems Algebra Find the Domain and Range y=3/2x^2+4x-9

y

=

3

2

x

2

+

4

x

−

9

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(

−

∞

,

∞

)

Set-Builder Notation:

{

x

|

x

∈

R

}

The range is the set of all valid

y

values. Use the graph to find the range.

Interval Notation:

[

−

35

3

,

∞

)

Set-Builder Notation:

{

y

∣

∣

∣

y

≥

−

35

3

}

Determine the domain and range.

Domain:

(

−

∞

,

∞

)

,

{

x

|

x

∈

R

}

Range:

[

−

35

3

,

∞

)

,

{

y

∣

∣

∣

y

≥

−

35

3

}

image of graph

Answer:

y ≤ 66.28 -> -∞

Step-by-step explanation:

y = a (x-h)² + k     ... (h,k): vertex

y = - 32x² + 90x + 3

  = -32 (x² - (90/32)x + (90/64)²) + (3 + (32)*(90/64)²)

  = -32 (x² - 2*(90/64)x + (90/64)²) + (3+63.28)   ... 90/64=1.41

  = -32 (x - 1.41)² + 66.28

h = 1.41

k = 66.28 .... extremum of y value

y ≤ 66.28 (y is real number)

Step-by-step explanation:

(x+1) (x+4)

x * x make x^2

1 & 4 when multiplied make 4 and when added make 5

c≈2.92

1.5^2+2.5^2=2.92

Answer:

25π

Step-by-step explanation:

i hope u hav a gud day ^_^

Answer:

area = 73.37 cm²

Step-by-step explanation:

area of circle:

A = π5² = 78.5 cm²

area of 80° segment:

(80/360)(78.5) = 17.44 cm²

area of isosceles triangle w/ 5 cm legs and 80° angle:

sin 40° = b/5

0.6428 = b/5

b = 3.214

base = 2(3.21) = 6.43   (we only figured for one-half of the base)

cos 40° = h/5

0.7660 = h/5

height = 3.83

A = 1/2(6.43)(3.83) = 12.31 cm²

area of unshaded part:

17.44 - 12.31 = 5.13 cm²

area of total shaded part:

78.5 - 5.13 = 73.37 cm²

Answer:

11

Step-by-step explanation:

H =V/(LxW)/3

H = 297/(9x9)/3

H = 297/(81)/3

H = 297/27

H = 11

Therefore, the height of the pyramid is 11ft square

Answer:

b -0.2 and 0.5

Step-by-step explanation:

Answer:

64π²

Step-by-step explanation:

Formula is πr². Just put 8 into r.

Can I have Brainliest?

Therefore, the value of the equation [tex]f(x) = x^2 + 3[/tex] is [tex]19.[/tex]

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

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

when [tex]x=-4[/tex] so,

[tex]f(-4)=(-4)^2+3\\\\f(-4)=16+3\\\\f(-4)=19[/tex]

Hence, the value of the equation [tex]f(x) = x^2 + 3[/tex] is [tex]19.[/tex]

To know more about the equation

https://brainly.com/question/12788590

#SPJ2

Answer:

y=-2(x+2)

Step-by-step explanation:

plug in(-2,0) into y-y1=m(x-x1)

y=m(x+2)

slope =m=-2

y=-2(x+2)