The figure below is a net for a rectangular prism. Side a = 22 inches, side b = 18 inches, and side c = 11 inches. What is the surface area of this figure?
A. 1,430 square inches
B. 1,672 square inches
C. 4,356 square inches
D. 836 square inches

Answer:

B

Step-by-step explanation:

B-X=A

or

B-A=X

or

X=B-A

[tex]X=\left[\begin{array}{ccc}-5&-1&6\\4&1&2\\0&-3&2\end{array}\right] -\left[\begin{array}{ccc}-1&-2&3\\4&8&-6\\0&1&5\end{array}\right] \\=\left[\begin{array}{ccc}-5+1&-1+2&6-3\\4-4&1-8&2+6\\0-0&-3-1&2-5\end{array}\right] \\=\left[\begin{array}{ccc}-4&1&3\\0&-7&8\\0&-4&-3\end{array}\right][/tex]

Answer:

answer is B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

All the other answers are above $50 while D gives you $49.75.

Good luck!

Answer:

the answer is D

Step-by-step explanation:

because 46.25 plus 3.50 is equal to 49.65 so she can spend it without exceeding the limit

Answer:

$2,975.85

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 3.5% into a decimal:

3.5% -> [tex]\frac{3.5}{100}[/tex] -> 0.035

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

[tex]A=2,500(1+\frac{0.035}{4})^{4(5)}[/tex]

[tex]A=2,975.85[/tex]

After 5 years, the account will have $2,975.85

Answer:

15 is a less than 16

Step-by-step explanation:

Answer:

What are the choices??

Step-by-step explanation:

50=100%

X=90%

X=50*90%/100

X=45

Answer:

45

Step-by-step explanation

90/100 × 50/1 50 goes into 100 2

90/2 × 1/1 = 45

Hope this helps

Answer:

If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.

Step-by-step explanation:

I have a book on this kinda stuff! :D

Answer:

If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.

Step-by-step explanation: ED2022

Answer:

226 grams

Step-by-step explanation:

The half-life of a radioactive substance is the time taken for half the quantity of the substance to decay such that the amount life after the given period of time is half the original quantity.

As such, given that the half-life of a certain radioactive element is 35 hours and there are 904 grams available, it means that after 35 hours,

Amount decayed = 1/2 * 904 grams

= 452 grams

Amount left = 904 grams - 452 grams

= 452 grams

After another 35 hours (now a total of 70 hours),

Amount decayed = 1/2 * 452 grams

= 226 grams

Amount left = 452 grams - 226 grams

= 226 grams

Answer:

-y^(2)+x+y

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

3x + (z + 2y) - 12, if x = 3, y = 8 and z= 5.

3*3 + (5+2*8) - 12

9 + (5 + 16) - 12

9 + 21 - 12

30 - 10 - 2

20 - 2

18

Answer:

18

Step-by-step explanation:

First what you would do is plug in the numbers.

3x3+(5+2x8)-12

Then you would multiply 2 times 8 and get 16. Then add 16 and 5 and get 21.

3x3+(21)-12

Then you add 3 times 3 and get 9.

9+21-12

Then you solve left to right. Then you add 9 and 21 and get 30. Last you subtract by 30 by 12 and get 18.

Answer:

the Gulf Coastal Plains, the Great Plains, the North-Central Plains and the Basin and Range.

Step-by-step explanation:

Answer:

x = 5

y = - 3/2

Step-by-step explanation:

[tex]\left \{ {{2x-4y =4} \atop {x-2y=8}} \right.[/tex]

The augmented matrix is :

[tex]\left[\begin{array}{ccc}2&-4&4\\1&-2&8\\\end{array}\right][/tex]

Now; to Row operations

Swap row 2 to row 1

[tex]\left[\begin{array}{ccc}1&-2&8\\\\2&-4&4 \end{array}\right][/tex]

Multiply row 1 with 2 and add to row 2 ;

1(2) = 2

-2(2) = -4

8(2) = 16

2 +2  = 4

4 +(-4) = 0

16+ 4 =20

Now; we have:

[tex]\left[\begin{array}{ccc}1&-2&8\\\\4&0&20 \end{array}\right][/tex]

changing row 2 back to equation form:

4x + 0y = 20

4x = 20

x = 20/4

x = 5

substituting x = 5 in row 1

x - 2y = 8

5 - 2y = 8

-2y = 8 -5

-2y = 3

y = - 3/2

Answer:

Step-by-step explanation:

make 2 2/3 into an improper fraction by multiplying 2 by 3 and adding to 2

8/3

8/3 divided by 1/4 is the same as 8/3 multiplied by 4/1 (just 4)

[tex]\frac{8}{3}*\frac{4}{1} =\frac{32}{3}[/tex]

32/3=10 2/3

Answer:

Jack can form four rectangular prisms with 20 unit cubes.

Step-by-step explanation:

Number of unit cubes Jack has = 20

Factors of 20 = 1, 2, 4, 5, 10, 20

The possible dimensions of a rectangular prism that can be formed by these unit cubes may be,

1 × 1 × 20 (One cube at the base)

1 × 2 × 10 (2 cubes at the base)

1 × 4 × 5 (4 cubes at base in a single row)

2 × 2 × 5 (4 cubes at the base with 2 cubes in length and 2 cubes in width)

Therefore, Jack can form four rectangular prisms with 20 unit cubes.

Answer:

you need a d/protector to do this

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

First you would find 10^2, which is 100. Then you just multiply 100 by 3.0 and get 300 :)

Answer:

To write in standard form, we have to move the decimal point in 3.14 over 2 places to the left since our exponent is −2. This gives us our answer of 0.0314.

I might be wrong.

Answer:

600 sq mm

Step-by-step explanation:

I divided the shape into 2 shapes and found each shapes area and after that added both of its area to find the area of the above shape

area of rectangle= b x h

so, 15x30=450mm (square)

area of triangle= b x h (divided) 2

so, 10x30=300 (divided) by 2

= 150mm (square)

so, 450 (plus) 150= 600mm (square)

Answer:

Binomial

Step-by-step explanation:

It has 2 terms in the expression

Answer: quadratic polynomial

Step-by-step explanation:

A quadratic polynomial is a polynomial of degree 2. A univariate quadratic polynomial has the form f(x)=a_2x^2+a_1x+a0. An equation involving a quadratic polynomial is called a quadratic equation. A closed-form solution known as the quadratic formula exists for the solutions of an arbitrary quadratic equation.

Answer:

The answer is: A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

Step-by-step explanation:

Hope this helped :)

Answer:

A

Step-by-step explanation:

Answer:

B. 19

Step-by-step explanation:

35-16=19

Answer:

Fraction form -15/2

Decimal form -7.5

Step-by-step explanation:

4x+30=0

subtract 30 from both sides

4x=-30

divide both sides by 4

x=-30/4

simplify

-15/2 or -7.5

Answer:

(x + 4)(x + 5)

Step-by-step explanation:

If you FOIL these factors, you get the give quadratic polynomial. x×x = x^2 4×5 = 20. 4x + 5x = 9x

Answer:

217 sqft

Step-by-step explanation:

the total area can be divided into 6 parts:

2 triangles, 2 rectangles(height 5, length 8) and 2 rectangles(height 7, length 8)

Therefore the area can be calculated as :

2* (1/2* 5*5) + 2*5*8+2*8*7 = 217 sqft

Answer:

D. 604

Step-by-step explanation:

411/3 = 137

137 + 388 = 525

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

(n) 604 - 79 = 525

Answer:

the answer is 12

Step-by-step explanation:

you basically have to divide 8 by 2/3 then you would get 12

Step-by-step explanation:

6(2x^2 - x - 28)

6(2x + 7)(x - 4)

Answer:

4/25

First we have to divide 1/5 by 5. To do this we must follow the rules of dividing fractions which is switching the numerator and denominator of the second number/fraction, so 5 becomes 1/5. Next, we have to multiply the two fractions: 1/5 x 1/5= 1/25 (This is the amount of apricots in 1 bag). If we multiply that by 5, its going to 5/25 which is now 5 bags. 5/25 - 1/25=4/25 and that is our final answer.

Answer:

the distance of  the object before it  hits the ground after launch is t = 1.592 seconds

Step-by-step explanation:

The height of an object launched upward from ground level is given by the function s(t) = -4.9t² +7.8t

when the object reach the ground then s(t) = 0

So;  -4.9t² +7.8t = 0

-4.9t² +7.8t + 0 = 0

By using the quadratic equation

[tex]\mathbf{\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}}[/tex]

where; a = -4.9 ; b = 7.8 and c = 0

[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(7.8)^2-4(-4.9)(0)} }{2(-4.9)}}[/tex]

[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(60.84} }{-9.8}}[/tex]

[tex]\mathbf{=\dfrac{-(7.8) + \sqrt{(60.84} }{-9.8} \ \ \ \ OR \ \ \ \ \mathbf{\dfrac{-(7.8) - \sqrt{(60.84} }{-9.8}}}[/tex]

[tex]\mathbf{=0 \ \ \ OR \ \ \ 1.592 }}[/tex]

Hence;  the distance of  the object before it  hits the ground after launch is t = 1.592 seconds

Answer:

It loses $400 a year

Step-by-step explanation

$2000 x 20% or .20 = $400 per year is what the computer loses.

It loses a great deal of value a year.

Answer: 100n

Step-by-step explanation:

Each year it looses 100$ of its value each year.

Answer:

The Pythagorean theorem deals with the lengths of the sides of a right triangle. ... The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle shown below) is equal to the square of the length of the hypotenuse ('c').

Step-by-step explanation:

Answer:

y ≤1

Step-by-step explanation:

The range is the output values

It has a max at 1 and can be any value below 1

y ≤1

Answer:

f(x) < 1

Step-by-step explanation:

Max y value on the graph is y = 1, hence the range is f(x)《 1

From the given options,

f(x) < 1