Calculate the volume for each right rectangular prism 5 3/4 in high 8 1/2 in long 2 1/4width

The formula used for given problem is y = mx+ b.

Slope-intercept form: A line with m as the slope and m and c as the y-intercept makes up the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

This relationship is linear. Let y be the boiling point and let x be the altitude in feet.

We need the equation y = mx+ b for a linear one.

This is a linear relationship.  Let x = the altitude in feet and y be the boiling point

 For a linear equation, we want y = mx+ b

From the description m = -1.72/1000 and when x = 0, y = 212, so b = 212

  y = -1.72/1000 + 212

B)  When y = 190

    190 = -1.72/1000x + 212

    1.72x/1000 = 22

 x = 22000/1.72 ≈ 12791 feet

  When the boiling point is 190°​F, the elevation is about 12791 ft.

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A) The change in the volume of solution in the tank after 1 minute is;

-3⁷/₁₅ liters per minute

B) The change in volume of the solution after 15 seconds is; -13/15 liters per minute.

C) What change in the volume of solution in the tank after 15 seconds means is that there is a decrease in the volume of solution in the tank by 13/15 liters per minute.

The given parameters of the solution in the tank are;

The rate at which the solution enters the tank, V = 16³/₄ liters per minute

The rate at which the solution leaves the tank = 19⁴/₅ liters per minute

(a) The expression that represents the change in volume in the tank is given as follows;

16³/₄ - 19⁴/₅ = -3⁷/₁₅ liters per minute

b)  We want to find the change in volume of the solution after 15 seconds.

15 seconds is equal to 0.25 minutes or 1/4 minutes

Therefore, the change in the volume after 15 seconds is;

-3⁷/₁₅ * 1/4 = -13/15 liters per minute

c) The change in the volume of solution in the tank after 15 seconds is a decrease in the volume of solution in the tank by 13/15 liters per minute.

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Answer:

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

Find the monthly gross and subtract all the deductions.

Monthly gross salary is:

Total deductions:

Monthly paycheck is:

Answer:

$2,561.56

Step-by-step explanation:

Income:

Deductions:

Total deductions:

⇒ 12% + 6.2% + 1.45% = 19.65%

If 19.65% of the gross salary is deducted, the percentage remaining will be:

⇒ 100% - 19.65% = 80.35%

Find 80.35% of the gross annual salary:

⇒ 80.35% of $38,256

⇒ 0.8035 × 38256

⇒ 30738.696

Divide this by 12 to find the value of the monthly pay check:

⇒ 30738.696 ÷ 12 = 2561.558

Therefore, the monthly pay check is $2,561.56 (nearest cent).

Answer:252.5

Step-by-step explanation:

263-242=21

21/2=10.5

242+10.5=252.5

The halfway between 242 and 263 is 252.5

The quotient of the expression as given in the task content is; 27/40.

It follows from the task content that the quotient of the expression which is given in the task content is to be determined.

Since the given expression is; (3/8) ÷ (5/9).

Hence, it follows from division of fractions that the expression can be rewritten as;

(3/8) × (9/5)

= 27/40.

Ultimately, the quotient of the expression is; 27/40.

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The integer solutions in the inequality expression given as − 2 ≤ x < 3 are -2, -1, 0, 1 and 2

Inequalities are expressions that do not have equal value

As a general rule, inequalities are represented by the unequal symbols

The inequality expression is given as

− 2 ≤ x < 3

The above inequality implies that

The values in the range or domain are values greater than -2, but less than 3

This means that

-2 is inclusive of the range, while 3 is not inclusive of the range

Using the above as a guide, the values in the range are

-2, -1, 0, 1 and 2

Hence, the integer solutions are -2, -1, 0, 1 and 2

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Okay, here we have this:

Considering the provided points and information, we are going to calculate the requested slope, so we obtain the following:

m=(y2-y1)/(x2-x1)

m=(6-5)/(4-1)

m=1/3

Finally we obtain that the slope of the line is 1/3.

The equation of the line that is parallel to the given line and passes through the point (–2, 2) is: B. y = 1/5(x) + 12/5

In order to determine the equation of this line, we would first of all calculate its slope. Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope\;,m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

By critically observing the graph of the line, we can logically deduce the following points:

Point (x, y) = (0, -3)

Point (x, y) = (-5, -4)

Substituting the given points into the formula, we have;

Slope = (-4 - (-3))/(-5 - 0)

Slope = (-4 + 3)/(-5)

Slope = -1/-5

Slope = 1/5

In Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂

Note: m represents the slope.

Mathematically, the point-slope form of a line is given by this equation:

y - y₁ = m(x - x₁)

Where:

At point (-2, 2), we have:

y - 2 = 1/5(x - (-2))

y - 2 = 1/5(x + 2)

y - 2 = x/5 + 2/5

y = x/5 + 2/5 + 2

y = x/5 + 12/5

y = 1/5(x) + 12/5

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Complete Question:

What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?

y=1/5x+4

y=1/5x+12/5

y=-5x+4

y=-5x+12/5

Answer: B. y = 1/5x + 12/5

Step-by-step explanation: This is just a sum of what the person above me said.....and i can confirm this is the right answer bc i just did the quiz and scored 100% loll. Hope this helps! :D

Answer:

B

Step-by-step explanation:

The exponent means to multiply x² by itself 3 times.

Answer:

They can invite at most 133 people

Step-by-step explanation:

132.97 rounded to the nearest "whole person" is 133

The value of given code is 58 and the value of a=8, b=7, c=-3, d=6, e=1, f=2 for the given puzzles using the exponential identities applied to the puzzles. on substituting the given values to f(b+d)+a(e-c)= 2(7+6)+8(1-(-3))= 58.

The number of times a number is multiplied by itself is referred to as its exponent. For instance, 2 to the third (written as 23) means: 2 x 2 x 2 = 8. 2 x 3 = 6 does not equal 23. Keep in mind that a number raised to the power of one is itself.

If a>0 and b>0, the following applies to all real numbers x and y:

a^x.a^y = a^(x+y)

a^x/a^y = a^(x-y)

a^x.b^x=(ab)^x

(a/b)^x = a^x/b^x

a^0=1

a^-x= 1/ a^x

(x^a)^b= x^(ab)

For the puzzle 1,

we use the property a^x.a^y = a^x+y

x^4.x^a=x^12

4+a=12

a=8

For puzzle 2,

we use the property a^x/a^y = a^x-y

y^b/y^5=y^2

b-5=2

b=7

For puzzle 3,

we use the property a^-x= 1/ a^x

3^c=1/3^3

c=-3

For puzzle 4,

we use the property (x^a)^b= x^(ab)

(m^3)^2=m^d

d=3*2

d=6

For puzzle 5,

we use the property a^0=1

7^0=e

e=1

For puzzle 6,

we use the property a^x.a^y = a^(x+y)

4^-2.4^9.4^-5=4^f

f=-2+9-5

f=2

given code=f(b+d)+a(e-c)

=2(7+6)+8(1-(-3))

=2*13+8*4

=26+32

=58

Using the exponential identities applied to the puzzles, the value of the given code is 58 and the values of a=8, b=7, c=-3, d=6, e=1, f=2 for the given puzzles. when the given values are substituted into f(b+d)+a(e-c)= 2(7+6)+8(1-(-3))= 58.

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Step-by-step explanation:

Answer:

y = -16 + 4x

-16 is the slope and the slope is also the y intercept, you can see on the graph how on the y axis the line crosses through -16 and 4 is the x intercept so that's how I know. I also used a graph calculator to check my answer.

Have a great night :)

The number of golf ball after his friend gave him balls is y = 3b + b

He has 3 bags of golf balls with b balls in each bag.

His friend gave him 6 more balls.

Therefore, the number of balls jack has can be represented with the following equation.

b balls are in each of the 3 bags.

Therefore,

the number of balls in the whole bags = 3b

Hence, the number of balls after the friend gave him 6 more balls is as follows;

y = 3b + b

where

y = number of total  golf balls

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Solution:

Given:

g(-4) means the value of g(x) when x = -4

Substituting x = -4 into the function,

Also, showing the function on a graph using a graph plotter, the function is as plotted below;

The point when x = -4 corresponds to y = -4

Therefore,

Answer:

so basically Write a factor

Step-by-step explanation:

1 - write a factor and then multiply then divide that's all hopefully this is helpful:)

.

We have the inequality:

-4 < (3x - 2)/5 ≤ 6

We multiply all the sides by 5:

-4*5 < 5*(3x - 2)/5 ≤ 6*5

-20 < 3x - 2 ≤ 30

Now, we add 2 to all the sides of the inequality:

-20 + 2 < 3x - 2 + 2 ≤ 30 + 2

-18 < 3x ≤ 32

Finally, we divide by 3:

-18/3 < 3x/3 ≤ 32/3

-6 < x < 32/3

Now, using interval notation:

x = (-6, 32/3]

This means that x takes all the values greater than -6 and less or equal to 32/3. Graphically, this is:

The remainder of the table for the given function rule are -7, - 6 and -5.

For the given question,

The function is defined as;

y = x - 7

To obtain the remainder of the table, put x = 0, 1, 2 in the function and obtain y.

1. x = 0

  y = 0 - 7

  y = -7

2. x = 1

y = 1 - 7

y = -6

3. x = 2

y = 2 - 7

y = -5

Thus, the remainder of the table for the given function rule are -7, - 6 and -5.

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Answer:

Graph D

Step-by-step explanation:

3|x + 1| < 9

divide both sides by 3:

(3|x + 1|)/3 < 9/3

|x + 1| < 3

so:

x + 1 < 3 OR x + 1 > -3

first equation: x + 1 < 3

x + 1 < 3

subtract 1 from both sides:

x + 1 - 1 < 3 - 1

x < 2

(-∞,2)

Second equation:  x + 1 > -3

x + 1 < -3

subtract 1 from both sides:

x + 1 -1 > -3 - 1

x > -4

(-4,∞)

You are to graph: (-4,∞) ∩ (-4,∞)

this is Graph D.

Answer:

Graph D

Step-by-step explanation:

Given inequality:

[tex]3|x+1| < 9[/tex]

Divide both sides by 3:

[tex]\implies |x+1| < 3[/tex]

[tex]\textsf{Apply the absolute rule: \quad If $|u| < a$ when $a > 0$, then $-a < u < a$}[/tex]

[tex]\begin{aligned} \underline{\sf Case\; 1} && \underline{\sf Case\; 2}\\-3& < x+1 & \quad \quad \quad x+1& < 3\\-4& < x & x& < 2\end{aligned}[/tex]

Therefore, the solution set for the given inequality is:

[tex]\{x|-4 < x < 2\}[/tex]

When graphing inequalities on a number line:

Place an open circle at x = -4 and x = 2.

Shade between the two values.

Answer:

X=6

Step-by-step explanation:

Simplify:

(2p^3x)^3 = 8p^54 into:

2p^3x = 2p^18

p^3x = p^18

3x = 18

x=6

Answer: 9 May

Step-by-step explanation: 3291684271 Fanelli Furs

594683219 Brooklyn Pets

7677095385 Maple Garage

8765713281 PAYMENT

321447162 Caruso's Restaurant

Previous

Balance

$420.50

4-10700000

Also this doesn't make a lot of sense.

The length of the football field in scientific notation is written as;

⇒ 4.32 × 10⁻³  inches.

Option B is true.

What is Number system?

A way for system of writing to express the number is called number system.

Given that;

The length of the football field = 4,320 inches.

Now,

Find the estimate number of the length of the football field as;

Since, The length of the football field = 4,320 inches.

The number = 4,320 inches

It can be written as;

4,320 inches =  4.32 × 10⁻³ inches.

Therefore,

The length of the football field in scientific notation is written as;

⇒ 4.32 × 10⁻³  inches.

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Answer:

First angle: 48°

Second angle: 36°

Third angle: 96°

Step-by-step explanation:

The sum of the three angles of a triangle = 180°

Let the measure of the first angle be a°

Then second angle measure = (a - 12)°

Third angle measure = 2a°

Adding up all these should equal 180°

⇒  a + a - 12 + 2a = 180

⇒  4a - 12 = 180

⇒ 4a = 180 -+ 12

⇒ 4a = 192

⇒  a = 192/4 = 48°

Thus the first angle is 48°

Second angle = 48 - 12 = 36°

Third angle = 2 x 48 = 96°

Solution:

Given:

A 52-card deck

There are four suits in a standard deck of cards, Clubs, Hearts, Spades, and Diamonds.

There are 13 diamond cards.

Hence,

Probability is calculated by;

Thus, the probability of drawing a diamond on the first draw is;

Since two draws are made with replacement, the cards are completed back again before the next draw.

Hence, the probability of drawing a diamond on the second draw is;

Therefore, the probability of drawing a diamond each time;

The distance between points C and D is 10 units

What is the distance formula?

The distance formula calculates the distance between two points. It measures the straight line distances between two points. the distance formula for Point x(a, b) and y(c, d) is given by [tex]d=\sqrt{(d-b)^{2} +(c-a)^{2} }[/tex].

We are given the coordinates as C(1,-4)  and D(9,-10)

Substituting the values in the distance formula

[tex]d=\sqrt{(-10+4)^{2}+(9-1)^{2} } \\d=\sqrt{(-6)^{2} +8^{2} }\\ d=\sqrt{36+64} \\d=\sqrt{ 100}\\d=10[/tex]

Therefore the distance between two points is 10 units.

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The equation that represents the points scored by the Vols is  x-13=35

The solution of the equation is x = 48

Based on the information that is provided in the question, the points scored by Alabama is 13 less than the score of the Tennessee Volunteers. This means that the points of Tennessee Volunteers is 13 greater than that of Alabama.

Thus, in order to determine the points of Tennessee Volunteers, add the score of Alabama to 13. Addition is the process that is used to determine the sum of two or more numbers. The sign that represent addition is +.

Points scored by Tennessee Volunteers = points scored by Alabama + 13

x = 35 + 13

x = 48

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Answer:  -4.667/2.000 = -2.333

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :    y-(-7/3*x+5/2)=0

Simplify   [tex]\frac{5}{2}[/tex]

Equation at the end of step : y -  ((0 -  ([tex]\frac{7}{3}[/tex] • x)) +  [tex]\frac{5}{2}[/tex])  = 0

The left denominator is : 3  The right denominator is : 2

Least Common Multiple:      6

 y - [tex]\frac{(15-14x)}{6}[/tex]   = 0

y • 6 - [tex]\frac{(15-14x)}{6}[/tex] [tex]\frac{6y + 14x - 15}{6}[/tex]

[tex]\frac{ 6y + 14x - 15}{6}[/tex]

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.500 and for x=2.000, the value of y is -2.167. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.167 - 2.500 = -4.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -4.667/2.000 = -2.333

 x-intercept = 15/14 = 1.07143

 y-intercept = 15/6 = 5/2 = 2.50000