What is the volume of a rectangular prism with a length of 2 inches, a width of 1 inch, and a height of inch? ano 1 2 in . 2 in 1 in 2 in 3

Answer:

2100

Step-by-step explanation:

Answer:

1. e its given

2. d

3. b

4. c

5. a

this all are proved by the theorem

Answer:

The top one is: 1/2x + 6

The bottom one is: -2x + 5

Step-by-step explanation:

The top function:

f(x) = mx + b

m is the slope and b in the y-intercept.  This is what you need to write the function.

The slope is 1/2.  The slope is the rise over the run. If you start at the point (-6,3) and go up one unit and 2 units to the right, you end up back on the line.  This is the slope.  If you follow that pattern, you will cross the y axis at (0,6).  6 is the y intercept.

The bottom function:

The slope is -2.  I you start at the point (1,3) and you go down 2 and one to the right, you will end up back on the line.  2/1 equals 2.

If you follow that pattern going backwards, 2 up and one to the left, you will be at the y-intercept (0,5) 5 is the y-intercept.

The range is 3.5, and it means that it is the value that occurs the most.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We find the range by subtracting the smallest value from the largest value.

The smallest value on the number line is 4 (with two dots) and

the largest value is 7.5.

Therefore, the range is:

7.5 - 4 = 3.5

So the range is 3.5, but it does not mean that the data varies by a value of 3.5.

The range tells us how spread out the data is, specifically the difference between the highest and lowest values in the data set.

A range of 5.0 means that there is a difference of 5.0 between the largest and smallest values.

Hence, the range is 3.5, and it means that it is the value that occurs the most.

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ2

Answer:

33 , 39

Step-by-step explanation:

given

9 , 15 , 21 , 27

there is a common difference between consecutive terms, that is

15 - 9 = 21 - 15 = 27 - 21 = 6

to obtain terms in the sequence add 6 to the preceding term

27 + 6 = 33

33 + 6 = 39

the next two terms are 33 and 39

Answer: 369.6km

Step-by-step explanation:

From the question, we are informed that a map has a scale of 1cm to 16km. We are further told that the distance between York and London is 23.1cm.

Therefore, the real distance in km between York and London will then be represented by x. Therefore,

1cm / 23.1cm = 16km / x

Cross multiply

1 × x = 23.1 × 16

x = 369.6km

The real distance in km between York and London is 369.6km

Answer:

65°

Step-by-step explanation:

To obtain Angle A, we use the cosine rule ;

Cos A = (b² + c² - a²) / 2bc

Cos A = (12² + 14² - 14²) / 2(12)(14)

Cos A = 144 / 336

A = Cos^-1(144/336)

A = 64.62°

A = 65°

Answer:

this shape is a pentagon. this is a regular shape because all the sides are even and all the angles on the inside are also even.

Step-by-step explanation:

pls mark brainliest!

Answer;

100??

Step-by-step explanation: g

Answer:

12. √197

13. √89

14. 2√10

15.  (-3, 2)

16. (3/2, 0)

17. (2, -8)

18. 21

Step-by-step explanation:

12. Point 1: (-8, -2); Point 2: (6, -1)

d = √(x2 - x1)² + (y2 - y1)²

d = √(6 - (-8)² + (-1 - (-2)²

d = √(14)² + (1)²

d = √196 + 1

d = √197

13. Point 1: (-4, 5); Point 2: (4, 0)

d = √(x2 - x1)² + (y2 - y1)²

d = √(4 - (-4))² + (0 - 5)²

d = √(8)² + (-5)²

d= √64 + 25

d = √89

14. G: (-2, -3); H: (0, 3)

d = √(x2 - x1)² + (y2 - y1)²

d = √(0 - (-2))² + (3 - (-3))²

d = √(-2)² + (6)²

d = √4 + 36

d = √40

d = √4 x 10

d = 2√10

15. Point 1: (-1, -5); Point 2: (-5, 9)

Midpoint = ((x1 + x2))/2, ((y1 + y2))/2

Mid = (-1 + (-5)/2, (-5 + 9)/2

Mid = (-6)/2, (4)/2

Mid = (-3, 2)

16. Point 1: (7, -2); Point 2: (-4, 2)

Midpoint = ((x1 + x2))/2, ((y1 + y2))/2

Mid = (7 + (-4)/2, (-2 + 2)/2

Mid = (3)/2, (0)/2

Mid = (3/2, 0)

17. M:(-3, -1); Y:(-8, 6), X: (X, y)

Midpoint = ((x1 + x2))/2, ((y1 + y2))/2

X      = ((-8 + x2))            ,((6 + y2))

                ÷      = -3              ÷           = -1

                2                          2

To get rid of the 2 multiply the 2 by -3 for X and -1 for Y

X = ((-8 + x2))                      ,((6 + y2))

             ÷       = -3(2)                 ÷         = -1(2)

           2(2)                              2(2)

X = (-8 + x2) = -6, (6 + y2) = -2

           +8          +8,   -6             -6

X2 = 2, Y2 = -8

X: (2, -8)

18. QR = 8x - 51; RS = 3x - 6

8x - 51 = 3x - 6

-3x         -3x

5x - 51 = -6

     + 51   +51

5x = 45

÷5    ÷5

x = 9

QR = 8(9) - 51

QR = 72 - 51

QR = 21

RS = 3x - 6

RS = 3(9) - 6

RS = 21

(QR + RS)/2

(21 + 21)/2

42/2 = 21

QS = 21

I really hope this helps!

Answer:

f(2) = 1

x = 0

Step-by-step explanation:

f(2) = 1 since y=1 when x=2.

f(0) = -3 since x=0 when y=-3

60m + 35 = c

hope that helps :)

Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

Learn more about numbers on

https://brainly.com/question/25734188

#SPJ1

$3299.62

total money he will have : $13,123.62

Answer:

Interest = $3,299.64 (nearest cent)

Step-by-step explanation:

Compound interest formula:  \(\sf I=P(1+\frac{r}{n})^{nt}-P\)

where:

Given:

Substituting given values into the formula and solving for I:

\(\sf \implies I=9824(1+\frac{0.0362}{365})^{365 \times8}-9824\)

\(\sf \implies I=13123.62461-9824\)

\(\sf \implies I=3299.62 \ (nearest \ hundredth)\)

● Answer:

8.995 cm

● Step-by-step explanation:

P = d + L/2

d = 3.5 cm

L/2 = 2pi×r/2

= pi×d/2

= 3.14×3.5/2

= 5.495 cm

P = 3.5cm + 5.495

= 8.995 cm

The amount she will have left after writing a check for $23.99 is $13.26. The correct answer would be an option (C).

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

Tricia has $37.25 in her account, if she writes a check for $23.99, to find the amount left after that we need to subtract the check amount from her initial amount.

⇒ initial amount - check amount

⇒ $37.25 - $23.99

Apply the subtraction operations, and we get

⇒ $13.26

Therefore, the amount she will have left after writing a check for $23.99 is $13.26.

Learn more about Subtraction operations here:

brainly.com/question/25834626

#SPJ2

Answer:

Step-by-step explanation:

1.) 143.25 - 11.25 = $132

$132 - 22 - 22 - 22 - 22 - 22 - 22 = 132

so 6 people can go

2.) it was 18 miles which stella whent 18 miles from her  house to the airport

please mark this as brainlists

Answer:

N = Natural numbers

The correct answer is (C) \(\angle B \cong \angle C.\) when In the diagram below of circle O, chords AD and BC intersect at E.

What is a circle ?

A circle is a two-dimensional geometric shape that consists of all the points in a plane that are at a fixed distance from a given point, called the center.

In the given diagram, we have a circle O with chords AB, CD, AD, and BC. The chords AD and BC intersect at point E.

Based on the diagram, we can see that the opposite angles in the quadrilateral AEDC are supplementary (i.e., they add up to 180 degrees). Therefore, we have:

\(\angle A + \angle C = 180^\circ\)

Similarly, the opposite angles in the quadrilateral BEFC are supplementary. Thus,

\(\angle B + \angle C = 180^\circ\)

We can rewrite the second equation as:

\(\angle C = 180^\circ - \angle B\)

Substituting this value of \angle C into the first equation, we get:

\(\angle A + 180^\circ - \angle B = 180^\circ\)

Simplifying, we get:

\(\angle A = \angle B\)

Therefore, the correct answer is (C) \(\angle B \cong \angle C.\)

To learn more about chords visit the link :

https://brainly.com/question/1654080

#SPJ1

Answer:

N = 3M

Step-by-step explanation:

Answer:

y=\(\frac{7}{10}x+\frac{7}{2}\)

Step-by-step explanation:

Hi there!

We want to find the equation of the line containing the points (5/7,4) and (-5/7, 3)

The most common way to write an equation of the line is slope-intercept form, which is given as y=mx+b where m is the slope and b is the y intercept

So first, let's find the slope of the line

The formula for the slope calculated from two points is \(\frac{y_2-y_1}{x_2-x_1}\) where (\(x_1\),\(y_1\)) and (\(x_2\),\(y_2\)) are points

We have everything needed to find the slope, but let's label the values of the points to avoid any confusion

\(x_1\)=5/7

\(y_1\)=4

\(x_2\)=-5/7

\(y_2\)=3

Now substitute into the formula

m=\(\frac{y_2-y_1}{x_2-x_1}\)

m=\(\frac{3-4}{\frac{-5}{7}-\frac{5}{7}}\)

Subtract and simplify

m=\(\frac{-1}{\frac{-10}{7}}\)

m=-1*\(\frac{7}{-10}\)

m=\(\frac{-7}{-10}\)

m=\(\frac{7}{10}\)

So the slope of the line is \(\frac{7}{10}\)

Here is the equation of the line so far:

y=\(\frac{7}{10}x\)+b

We need to find b

As the equation of the line passes through both (5/7, 4) and (-5/7, 3), we can use either one of them to solve for b

Let's take (5/7, 4) for this case

Substitute x as 5/7 and y as 4

4=\(\frac{7}{10}\)*\(\frac{5}{7}\)+b

Multiply and simplify the fractions

4=\(\frac{1}{2}\)+b

subtract 1/2 from both sides

\(\frac{7}{2}\)=b

So the equation of the line is y=\(\frac{7}{10}x\)+\(\frac{7}{2}\)

Hope this helps!

Answer:

B.8/10,E.12/15

Step-by-step explanation:

4/5×2=8/10

4/5×3=12/15

The solution set for this inequality is {x | x > 2}

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

To solve the inequality:

2x - 3 > 11 - 5x

We can start by simplifying the expression on both sides:

2x - 3 > 11 - 5x

Adding 5x to both sides

7x - 3 > 11

Adding 3 to both sides

7x > 14

Dividing both sides by 7

x > 2

This means that any value of x greater than 2 will make the inequality true.

Thus,

The solution set for this inequality is {x | x > 2}

Learn more about solutions to equations here:

https://brainly.com/question/545403

#SPJ7

The error in Courtney claims that Option 2 would result in the class using 270 gallons is that he multiplied rather than dividing.

From the information given, it should be noted that Courtney claims that Option 2 would result in the class using 270 gallons of water during 180 minutes of showering is incorrect because she should have divided and not multiplied. This will be:

= 270 / (3/2)

= 180 × 2/3

= 120

Therefore, 120 gallons will be used.

Learn more about division on:

https://brainly.com/question/25289437

#SPJ1

Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Answer:

C option SAS is the correct answer of this question .....plz mark my answer as brainlist plzzzz vote me also plzzzz

Answer:

x=77° each

Step-by-step explanation:

180-26=154°

154÷2=77°

x=77° each

hope that helpes

Answer:

5+6=11

Step-by-step explanation:

:D

Answer:

t=5c+6d

Step-by-step explanation:

5c=cheese pizza cost

6d=topped pizza cost