A box measures 1 ft. long, wide, and 1/2 1/2 ft high. Find the volume in Inches .

The value of B = [tex]\dfrac{2S-NA}{N}[/tex]

Step-by-step explanation:

The given equation,

[tex]S=\dfrac{N}{2}(A+B)[/tex]

To find, the value of B in terms of S, N and A = ?

∴ [tex]S=\dfrac{N}{2}(A+B)[/tex]

By crossmultiplication, we get

⇒ N(A + B) = 2S

⇒ NA + NB = 2S

⇒ NB = 2S  - NA

⇒ B = [tex]\dfrac{2S-NA}{N}[/tex]

∴ The value of B = [tex]\dfrac{2S-NA}{N}[/tex]

Answer:

207.24 inches

Step-by-step explanation:

The formula for circumference is C=[tex]2[/tex][tex]\pi r[/tex]

Apply the formula here

r = 33

[tex]\pi[/tex]=3.14

C=2*3.14*33 = 207.24

Apply units!

207.24 inches

The functions that are discontinuous are:

Step Function

Absolute Value Function

Dirichlet Function

Piecewise-defined Functions

We have,

Several functions are known to be discontinuous at certain points or intervals.

Here are a few common examples of functions that exhibit discontinuity:

- Step Function:

A step function is a piecewise-defined function that "jumps" from one constant value to another at specific points.

- Absolute Value Function:

The absolute value function, denoted as |x|, is discontinuous at x = 0, where it changes its slope abruptly.

- Dirichlet Function:

The Dirichlet function is defined as follows: D(x) = {1 for rational x, 0 for irrational x}.

This function is discontinuous at all rational numbers and irrational numbers.

- Piecewise-defined Functions:

Functions that are defined using different formulas or rules for different intervals can exhibit discontinuities at the points where the rules change.

Thus,

The functions that are discontinuous are:

Step Function

Absolute Value Function

Dirichlet Function

Piecewise-defined Functions

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ4

Answer:

$37.5

Step-by-step explanation:

(25/50) x 75 = 37.5

$25/50  .... each apple cost $0.5

0.5 x 75 = 37.5

The correct answer is 75 apples would cost $37.50.

To solve this problem, we first need to determine the cost per apple when 50 apples cost $25. We can calculate this by dividing the total cost by the number of apples:

Cost per apple = Total cost / Number of apples

Cost per apple = $25 / 50 apples

Cost per apple = $0.50 per apple

Now that we know the cost per apple is $0.50, we can calculate the cost for 75 apples by multiplying the cost per apple by the number of apples:

Cost for 75 apples = Cost per apple * Number of apples

Cost for 75 apples = $0.50 * 75

Cost for 75 apples = $37.50

Therefore, 75 apples would cost $37.50.

Answer: y= 40

Step-by-step explanation:

1. The lowest point of the cable is 40 feet above the surface of the bridge.

2. The towers are 450 feet apart.

3. The vertical distance from the surface of the bridge to the top of each tower is 500 feet.

We’ll use the general form of a parabolic equation:

[ y = a(x - h)^2 + k ]

Where:

(y) represents the vertical position (height) of the cable.

(x) represents the horizontal position along the bridge.

(h) represents the horizontal position of the vertex (lowest point) of the parabola.

(k) represents the vertical position of the vertex.

Given that the lowest point of the cable is at (y = 40) feet, we have:

[ k = 40 ]

Now let’s find the vertex position ((h)). Since the towers are 450 feet apart, the midpoint between the towers corresponds to the vertex. Therefore:

[ h = \frac{{450}}{2} = 225 ]

Now we can express the equation as:

[ y = a(x - h)^2 + k ]  

Next, let’s find the value of (a). At the top of each tower, the cable is at a height of 500 feet. So, when (x = 0) (left tower) or (x = 450) (right tower), we have:

At the left tower (left end of the span): [ y = 500 = a(0 - 225)^2 + 40 ] Solving for (a): [ a = \frac{{500 - 40}}{{225^2}} = \frac{{460}}{{50625}} ]

At the right tower (right end of the span): [ y = 500 = a(450 - 225)^2 + 40 ] Solving for (a): [ a = \frac{{500 - 40}}{{225^2}} = \frac{{460}}{{50625}} ]

Since the value of (a) is the same at both ends, we can use either tower to find the equation of the parabolic curve:

[ y = \frac{{460}}{{50625}}(x - 225)^2 + 40 ]

Answer:  5 (x + 2y - 3)

Step-by-step explanation:

Answer:

perp. : 1/3= m

y + 8 = 1/3(x -4): answer is c

y + 24/3 = (1/3)x - 4/3

y = (1/3)x - 28/3

Step-by-step explanation:

answer is c

To find the equation of a line perpendicular to y = -3x + 11 that passes through the point (4, -8), we first calculate the negative reciprocal of the original line's slope, which is 1/3. Then we apply this slope and the given point to the point-slope form equation to obtain y + 8 = (1/3)(x - 4).

The student has asked for an equation in point-slope form for a line that is perpendicular to y = -3x + 11 and passes through the point (4, -8). Firstly, we identify the slope of the given line, which is -3.

As we need a perpendicular line, we find the negative reciprocal of this slope, which is 1/3 (since the slope of perpendicular lines are negative reciprocals of each other). Now, using the point-slope form formula, y - y1 = m(x - x1), where (x1, y1) is the point the line passes through and m is the slope, we plug in our values to get:

y - (-8) = (1/3)(x - 4)

This simplifies to:

y + 8 = (1/3)(x - 4)

Which is the equation of the line perpendicular to y = -3x + 11 that passes through the point (4, -8) in point-slope form.

We found the volume of water by finding the volume of fish tank from given dimensions and dividing it by 2.

Step-by-step explanation:

Given,

Height of tank = 3 feet

Width of tank = 1.5 feet

Length of tank = 2 feet

We will first find the volume of tank;

Volume = Length * Width * Height

Volume = 3 * 1.5 * 2

Volume = 9 feet cubed

As we know the water is 1/2; therefore we will divide the volume of tank by 2.

Volume of water = [tex]\frac{9}{2} = 4.5\ ft^3[/tex]

We know that;

1 cubic feet = 7.481 gallons

4.5 cubic feet = 7.481*4.5 = 33.66 gallons

Keywords: volume, division

Learn more about volume at:

#LearnwithBrainly

Answer:  " 187. 774 % " .

_____________________________________

Step-by-step explanation:

_____________________________________

So, let's rewrite this statement as a question:

0.599 is "what percent" of:  0.319 ? ;

Set up an equation:

 [tex]0.599 = (\frac{n}{100}) *0.319[/tex]  ;

↔ [tex](\frac{n}{100}) * 0.319 = 0.599[/tex] ;

_____________________________________

Divide each side of the equation by:  "(0.319)" ; as follows:

_____________________________________

 [tex][ (\frac{n}{100}) * 0.319 ] / 0.319 = (0.599)/ (0.319)[/tex] ;

to get:

_____________________________________

[tex]\frac{n}{100} = 1.87774294671[/tex] ;

_____________________________________

Now, multiply each side of the equation by "100" ;

 to isolate "n" on one side of the equation; & to solve for "n" ;

_____________________________________

 [tex]100 * (\frac{n}{100)} = (1.87774294671) * 100[/tex]  ;

_____________________________________

On the left-hand side of the equation;  the "100's: cancel out to "1" ;

 →  since:  "[tex](\frac{100}{100} =1)[/tex]" ;  

and we have:

 →  n =  187.774294671 ;

round to three decimal places:

 →  n =  187. 774 .

The answer is:  187.774 % .

_____________________________________

Answer:

First Option

Step-by-step explanation:

An exponent is how many times you multiply a number by its self, in this case, that's 5 times

Answer:

[tex] \frac{32}{243} \\ [/tex]

Step-by-step explanation:

[tex] = ( { \frac{2}{3})}^{5} \\ \\ = \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3} [/tex]

Answer:

4

Step-by-step explanation:

2x-7=-2x+9

2x-(-2x)-7=9

2x+2x-7=9

4x-7=9

4x=9+7

4x=16

x=16/4

x=4

Answer:

Its height is 24.71 centimeters.

Step-by-step explanation:

Given:

The volume of a rectangular pyramid  is 10,500 cubic centimeters.

It has a  length of 15 centimeters and a width of  85 centimeters.

Now, to find the height.

Let the height be [tex]h.[/tex]

Volume of rectangular pyramid  = 10,500 cubic centimeters.

Length (l) = 15 centimeters.

Width (w) = 85 centimeters.

Now, to get the height by putting formula:

[tex]Volume=\frac{l\times w\times h}{3}[/tex]

[tex]10500=\frac{15\times 85\times h}{3}[/tex]

[tex]10500=\frac{1275h}{3}[/tex]

Multiplying both sides by 3 we get:

[tex]31500=1275h[/tex]

Dividing both sides by 1275 we get:

[tex]24.71 =h\\\\h=24.71\ centimeters.[/tex]

Therefore, its height is 24.71 centimeters.

Answer:

Total amount of saving = $212.5

Step-by-step explanation:

Let x be the amount of saving to begin with.

Given:

Maya spent = 40%

Bicycle cost = $85

We need to find the amount of savings Maya began with.

Solution:

From the statement, Maya spent 40% of her savings to pay for a bicycle that costs $85.

So, 40% of total amount = $85

[tex]40\%\times Total\ amount = \$85[/tex]

Substitute [tex]40\% = \frac{40}{100}[/tex] and total amount = x in above equation.

[tex]\frac{40}{100}\ties x = 85[/tex]

Using cross multiplication rule.

[tex]x=\frac{85\times 100}{40}[/tex]

[tex]x=\frac{8500}{40}[/tex]

x = $212.5

Therefore, amount of savings Maya began with (x) = $212.5

Answer:

(h + k)(2) = h(2) + k(2) = [tex]2^{2}[/tex] + 1 + 2 - 2 = 4 + 1 = 5

(h - k)(3) = h(3) - k(3) = [tex]3^{2}[/tex] + 1 - (3 - 2) = 10 - 1 = 9

Step-by-step explanation:

h(x) = [tex]x^2 + 1[/tex]

k(x) = x - 2

(h + k)(2) = h(2) + k(2) = [tex]2^{2}[/tex] + 1 + 2 - 2 = 4 + 1 = 5

(h - k)(3) = h(3) - k(3) = [tex]3^{2}[/tex] + 1 -(3 - 2) = 10 - 1 = 9

Answer:

[tex]His\ average\ speed\ to\ trip\ there\ =45\ mph\\\\His\ average\ speed\ in\ return\ trip=45-9=36\ mph\\\\His\ average\ speed\ during\ whole\ trip=40\ mph[/tex]

Step-by-step explanation:

[tex]Let\ distance\ from\ one\ side=d[/tex]

Trip:

[tex]Let\ speed\ when\ he\ was\ going=x\ mph\\\\Time\ taken=4\ hours\\\\distance=d\\\\distance=speed\times time\\\\d=x\times 4\\\\d=4x\ ...................................eq(1)[/tex]

Return Trip:

[tex]Speed=x-9\ \ \ \ \ (as\ it\ is\ 9\ mph\ slower)\\\\Time\ taken=5\ hours\\\\Distance=d\\\\Distance=speed\times time\\\\Distance=5\times (x-9)\\\\d=5x-45\ ........................................eq(2)[/tex]

[tex]from\ eq(1)\ and\ eq(2)\\\\5x-45=4x\\\\5x-4x=45\\\\x=45\ mph\\\\from\ eq(1)\\\\d=4\times 45=180\ miles[/tex]

[tex]Average\ speed\ during\ whole\ trip=\frac{total\ distance}{total\ time}=\frac{2\times 180}{5+4}=\frac{360}{9}=40\ mph[/tex]

[tex]His\ average\ speed\ to\ trip\ there\ =45\ mph\\\\His\ average\ speed\ in\ return\ trip=45-9=36\ mph\\\\His\ average\ speed\ during\ whole\ trip=40\ mph[/tex]

Answer:-2+5

Step-by-step explanation:

So basically you do simple math and you need to know that the highest number goes on the right

So basically for each one there is

3-1 that makes 2

-2+5 creates 3 because it’s a negative so you must cancel the negative out and your left with three after

And with that mind set in mind with having to cancel the negative out with the positive

4+(-2) is basically 4-2 and that makes 2

And the last one is a little bit tricky because of all the negatives involved and with this one you need to know that to negatives make a positive

So it’s -4-(-2) so because of the minus and the negative two being negatives right next to each other they cancel each other out to make the equation basically -4+2 which would ultimately make -2

So all the answers are

3-1=2

-2+5=3

4+(-2)=2

-4-(-2)=-2

And out of all those we know 3 is the highest number there so therefore it would make it the one farthest to the right on a number line when solved.

Step-by-step explanation:

Given , a line passes through the points (1,-3) and (3,1)

The equation of line which passes through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is

[tex]y - y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

Here [tex]x_1 = 1 , y_1= -3[/tex]     and      [tex]x_2 = 3 , y_2= 1[/tex]

The required equation of the line is

[tex]y+3=\frac{1+3}{3-1} (x-1)[/tex]

[tex]\Leftrightarrow y +3 =2(x-1)[/tex]

[tex]\Leftrightarrow y =2x-2-3[/tex]

[tex]\Leftrightarrow y =2x-5[/tex]

8.

Given, y varies directly with x and y=24 when x=8

Therefore,

[tex]y\propto x[/tex]

[tex]\Rightarrow y = kx[/tex].........(1)

y = 24 when x=8

[tex]\therefore 24 = 8k[/tex]

[tex]\Rightarrow k =3[/tex]

Equation (1) becomes

y= 3x

So, when x=10

y=3×10

⇒y=30

If you start at (6, 7) and you move up 2 units, you will end at point (6, 9) as shown in the image attached below.

In Mathematics and Euclidean Geometry, the translation a geometric figure upward means adding a digit to the value on the positive y-axis of the pre-image;

g(x) = f(x) + k

In this exercise, we would apply a translation of 2 units up to the point (6, 7), in order to determine the coordinates of its image as follows;

(x, y)                   →                  (x, y + 2)

A (6, 7)               →    (6, 7 + 2) = (6, 9).

So, if you start at (6, 7) and you move up 2 units, you will end at point (6, 9) as shown in the image attached below.

Answer: It's negative! Dude, could I please have brainiest!?!

Final answer:

The sign of the expression 3x * y^3 is negative when x is positive and y is negative because a negative number raised to an odd power remains negative.

Explanation:

The question asks about the sign of a mathematical expression where the variables have specified signs based on their values. Given that x is positive (x > 0) and y is negative (y < 0), the expression 3x * y^3 encompasses multiplying a positive number by a negative number raised to an odd power. Multiplying a positive number by a negative number results in a negative number, and raising a negative number to an odd power preserves the negative sign. Therefore, the product 3x * y^3 will be negative because y^3 maintains its negative sign while 3x is positive.

Answer:

a.i) 1 piece = 20 days

   1 day= 1/20 piece =0.05 of a piece

a.ii) 0.05*5 =0.25

a.iii) 0.05*10 =0.5 done.

so if the total is 1, 0.5 is half, so he has 0.5 work left

b.i)1 piece=12 days

4 days = 1/3 = 0.3333333333 of his work

b.ii)1/4=0.25

so 12*0.25 = 3 days

c.i)1/3 = 6 days

1 (work)= 6*3 = 18 days

c.ii) 1/18 = 1 day = 0.05555555555

c.iii) 0.5 since 9/18 = 1/2 = 0.5

d.i) 1 hour= 60 mins

whole tank = 60 mins

20 mins = 60/20 = 1/3 of a tank

if capacity = 1500L

1500 = 60 mins

1500/3 = 20 mins

=500 Liters

Answer:

40

Step-by-step explanation:

4 x 10= 40

PlZ add brainliest.

Answer:

40 is the answer to this question

Answer:

F. y= -[tex]\frac{1}{3\\}[/tex]x

Step-by-step explanation:

A proportional relationship between x and y exists if it can be expressed in the form y/x=k or y=kx. From the choices listed, F. y= -[tex]\frac{1}{3\\}[/tex]x is the only equation expressed in this form.

The correct option is J. [tex]\( y = 2x - 4 \).[/tex]

To determine which equation represents a proportional relationship between [tex]\( x \)[/tex] and [tex]\( y \)[/tex], we need to look for an equation where [tex]\( y \)[/tex] is a constant multiple of [tex]\( x \)[/tex], and passes through the origin (0,0). A proportional relationship can be expressed in the form [tex]\( y = kx \)[/tex], where [tex]\( k \)[/tex] is the constant of proportionality.

Let's analyse each option:

F. [tex]\( y = -\frac{1}{3}x \)[/tex]

This equation represents a proportional relationship with a constant of proportionality [tex]\( k = -\frac{1}{3} \)[/tex].

G. [tex]\( y = -x + 1 \)[/tex]

This equation does not represent a proportional relationship because it does not pass through the origin (the y-intercept is 1).

H. [tex]\( y = \frac{3}{2}x + \frac{3}{2} \)[/tex]

This equation does not represent a proportional relationship because it does not pass through the origin (the y-intercept is [tex]\( \frac{3}{2} \))[/tex].

J. [tex]\( y = 2x - 4 \)[/tex]

This equation does not represent a proportional relationship because it does not pass through the origin (the y-intercept is -4).

Answer:

What table below

Step-by-step explanation:

The independent variable is what you change

The dependent variable is what you measure

So the money he earns per hour seems like a constant, and it won't change. Therefore the dependent variable would be the amount of money he earns.

The number of hours he works can be changed, so the independent variable would the number of hours he works/babysits

The answer for the above mentioned problem is JL = 12.5

Step by step explanation:

Given:

JM = 8

KM = 6

To Find:

JL = ?

Formula to be used:

[tex]KM^2[/tex] = JM x ML

In order to find " JL" we must first find "ML",

[tex]KM^2[/tex] = JM x ML

         [tex]6^2[/tex] = 8 x ML

         36 = 8 x ML

         36/8 = ML

         ML = 4.5

Now JL = 4.5+8

             = 12.5

Thus the value of JL = 12.5

Answer:

see attachment

Step-by-step explanation:

Answer:

2nd 4th 6th 8th or  B D F H

Step-by-step explanation:

I did it on edge

Answer: 15/24

Step-by-step explanation: 6x4=24 which is the denominator and 5x3=15 which is the numerator

Answer:

15/24

Step-by-step explanation:

Answer:

x = 2 and x = 2

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

[tex]log_{x}[/tex] 8 = 3 ⇒ 8 = x³

Note 8 = 2³ = x³  ⇒ x = 2

Given

[tex]log_{5}[/tex] 25 = x ⇒ 25 = [tex]5^{x}[/tex]

25 = 5² = [tex]5^{x}[/tex] ⇒ x = 2

Answer:

[tex]2.5\ \frac{people}{book}[/tex]

Step-by-step explanation:

The correct question is

The ratio of people to books in a classroom is 10:4 what is the unit rate of people per book?

Let

x ----> the number of people

y ----> the number of books

we know that

To find out the unit rate of people per book , divide the total number of people by the total number of books

we have

[tex]x=10\ people\\y=4\ books[/tex]

so

[tex]\frac{x}{y}=\frac{10}{4}=2.5\ \frac{people}{book}[/tex]