What is the volume, in cubic feet, of a rectangular prism with a height of 2 feet, a
width of 10 feet, and a length of 17 feet?

This question is solved using rounding and proportion concepts.

A drinking glass holds 0.3 litres correct to the nearest 0.1 litres

This means that, with 2 decimal places, the drinking glass holds between 0.25 litres and 0.34 litres.

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Calculate the lower bound for the number of glasses of water which can be filled from the bottle

For the lower bound, we consider that 1 glass holds 0.25 litres, and want to find how many glasses are needed for 25 litres. So

1 glass - 0.25 litres

x glasses  - 25 litres

Applying cross multiplication:

[tex]0.25x = 25[/tex]

[tex]x = \frac{25}{0.25} = 100[/tex]

Thus, the lower bound for the number of glasses of water which can be filled from the bottle is 100.

A similar question is found at https://brainly.com/question/21369672

Answer:

4

Step-by-step explanation:

5x²+8x²- 4x⁴+x

The degree is the highest power

The highest power is 4

The degree is 4

Answer:

sin60°+cos30/tan30*tan60

1/2+√3/2/1

1+√3/2

Answer:

y = (x + 1)²

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 1, 0) , then

y = a(x + 1)² + 0

To find a substitute (0, 1), the y- intercept into the equation

1 = a(0 + 1)² = a

y = (x + 1)²

Answer:

x=1

Step-by-step explanation:

7x-1+2x-1=7

7x+2x-1-1=7

9x-2=7

9x=7+2

9x=9

9x/9=9/9

x=1

Answer:

see below

Step-by-step explanation:

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = x-7

m = 1

b = -7

y = 4

m=0

b = 4

y = -2x+3

m = -2

b = 3

the sign will be a negative sign -

Answer:

IN a series of multiplications (or divisions)

add up the negative signs ... if they are even the answer is positive "+"

the there is an odd number the answer will be negative "-"

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

78 +2 ÷ 2

PEMDAS says divide first

78 + (1)

Then add

79

Answer:

Dhhdhdhgdgdgd djjdhdhdhfh dbdjhdhfv djjdhfhhb is a hdhdh yhvggfff tghrh9

Answer:

what is it's perimeter?

Answer:

[tex]{ \tt{area = {area \: of \: 4 \: triangles}}} \\ area = \frac{1}{2} \times base \times height \\ \\ { \bf{area = 2(\frac{1}{2} (0.75 \times 1)) + 2( \frac{1}{2} \times 0.75 \times (3 - 1))}} \\ area = 0.75 + 1.5 \\ { \tt{area = 2.25 \: {ft}^{2} }} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]

Answer:

The correct ans is in the picture

Step-by-step explanation:

Don't worry it is 100% correct!

Answer: I don’t know the answer but you the ap.p called math. way for any type of math it gives u all the answers

Step-by-step explanation:

I hope I helped

Step-by-step explanation:

by referring to the diagram,

a = 8

Answer:

No

Step-by-step explanation:

This relation is a function because the x values have a repeating number (15).

Answer:

150 in^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

L = 9

W = 4

H = 3

Formula

SA = 2*L*w + 2*L*H + 2 * H * W

Solution

SA = 2 * 9*4 + 2*9*3 + 2*3 * 4

SA = 72 + 54 + 24

SA = 150 in^2

Answer: 0.662201

Step-by-step explanation:

Number of five thousand dollar bills in circulation = 1,765,000

Number of ten thousand dollar bills in circulation = 3,460,000

Total bills in circulation = 1,765,000 + 3,460,000 = 5225000

If one one bill is chosen at random, the probability that it is a ten thousand dollar bill will be:

= Number of ten thousand dollar bills in circulation / Total bills in circulation

= 3,460,000 / 5225000

= 0.662201

The probability that it is a ten thousand dollar bill is 0.662201.

Answer:

force of gravity

hope it helps

pls mark me as the brainliest

thank u

Answer:

pulling force

Step-by-step explanation:

There is no special name for that.

Physics is usually just concerned with "forces", and doesn't specify whether the force pushes or pulls.

If you want to be more specific, you can just call it a "pulling force".

I hoped this was satisfying!

Answer:

1.5 miles per hour

Step-by-step explanation:

Take the number of miles and divide by the number of hours

15 miles / 10 hours

1.5 miles per hour

Answer:

A,B,C

Step-by-step explanation:

All right triangles,

Answer:

the triangle was 2x scale (*2)

it was reflected across y=0

and translated x +2

Step-by-step explanation:

Answer:

EG = 26

Step-by-step explanation:

We use the angle-bisector theorem here

The theorem is that given an angle that is bisected in a triangle, it splits the opposite side into two parts, with the ratio of the sides facing the angle and the adjoining leg equal for the two bisections

So, we have this as;

EF/ED = GD/FG

x/24 = x+10/54

54(x) = 24)x + 10)

54x = 24x + 240

54x-24x = 240

30x = 240

x = 240/30

x = 8

But;

EG = EF + FG

EG = x + x + 10 = 2x + 10

EG = 2(8) + 10

EG = 16 + 10 = 26

Answer:

Step-by-step explanation:

The standard form of a quadratic is

[tex]y=a(x-h)^2+k[/tex] where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:

[tex]y=(x-(+10))^2[/tex] and simplified:

[tex]y=(x-10)^2[/tex]  That is the parent graph shifted 10 units to the right.

Step-by-step explanation:

21/1

When a denominator is equal to 1, the fraction might be simplified, using this formula:

a/1=a

21/1=21

3/12

Reduce fraction

3/12=3÷3/12÷3

=1/4 or 0.25

Answer:

20

Step-by-step explanation:

[tex] = \dfrac{ \sqrt[3]{125} \times \sqrt[3]{64} }{ \sqrt[3]{125} - \sqrt[3]{64} } [/tex]

[tex] = \dfrac{5 \times 4}{5 - 4} [/tex]

[tex] = \dfrac{20}{1} [/tex]

[tex] = 20[/tex]

Answer:

The cost of tuition as a function of x, the number of years since 1990, is C(x)= 14*(x-1990) + 95

Step-by-step explanation:

A linear function is a polynomial function of the first degree that has the following form:

y= m*x + b

where

So, in this case: C(x)= m*( x-1990) + b where x is the number of years since 1990.

Given the coordinates of two points, it is possible to determine the slope m of the line from them using the following formula:

[tex]m=\frac{y2 - y1}{x2 - x1}[/tex]

In this case, you know that in 1990, the cost of tuition at a large Midwestern university was $95 per credit hour. And in 1999, tuition had risen to $221 per credit hour. So:

So the value of m is:

[tex]m=\frac{221 - 95}{1999 - 1990}[/tex]

[tex]m=\frac{126}{9}[/tex]

m= 14

So C(x)= 14*( x-1990) + b. In 1999, tuition had risen to $221 per credit hour. Replacing:

221= 14*(1999 - 1990) + b

221= 14*9 +b

221= 126 + b

221 - 126= b

95= b

Finally, the cost of tuition as a function of x, the number of years since 1990, is C(x)= 14*(x-1990) + 95

Answer:  Choice C)  [tex]\frac{8+2\sqrt{6x}}{8-3x}[/tex]

======================================

Work Shown:

[tex]y = \frac{4}{4-\sqrt{6x}}\\\\y = \frac{4(4+\sqrt{6x})}{(4-\sqrt{6x})(4+\sqrt{6x})}\\\\y = \frac{4(4+\sqrt{6x})}{4^2 - (\sqrt{6x})^2}\\\\y = \frac{4(4+\sqrt{6x})}{16-6x}\\\\y = \frac{2*2(4+\sqrt{6x})}{2(8-3x)}\\\\y = \frac{2(4+\sqrt{6x})}{8-3x}\\\\y = \frac{8+2\sqrt{6x}}{8-3x}\\\\[/tex]

This shows why choice C is the answer.

----------------

Notes:

Answer:

Total material needed = 9.5 square feet

Step-by-step explanation:

Dimensions  of I = 2. 5feet x 1 feet

    Area = 2.5 square feet

Dimensions of S :

                      Top part = 1 feet x 1 feet

                         Area of top part = 1 square feet

                      Bottom part = 1 feet x 2.5 feet

                          Area of bottom part = 2.5 square feet

  Total Area of S = 2.5 + 1  = 3.5  square feet

Total material needed = Area of I + Area of S + Area of S

                                  = 2.5 + 3.5 + 3.5

                                  = 9.5 square feet.

Answer:

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