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3 years ago

Which rectangular prism has a voluWhich rectangular prism has a volume that is different from the others?

Mathematics

1 answer:

Masja [62]3 years ago

4 0

Answer:

The volume of a rectangular pyramid is 12 the volume of a rectangular prism. The volume of the rectangular pyramid is 85.5 m3.

Step-by-step explanation:

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If\ the\ polynomial\ p\left(x\right)\ =\ 2x^3\ +\ ax^{2\ }-\ 7x\ +b,\ p\left(1\right)\ =\ 3\ and\ p\left(2\right)\ =\ 19,\ find\

zalisa [80]

Answer:

Value of a =3

Value of b =5

Step-by-step explanation:

$If\ the\ polynomial\ p\left(x\right)\ =\ 2x^3\ +\ ax^{2\ }-\ 7x\ +b,\ p\left(1\right)\ =\ 3\ and\ p\left(2\right)\ =\ 19,\ find\ a\ \&\ b$

We are given p(1)=3 and p(2)=19

Putting x =1 to find p(1)

$p\left(x\right)\ =\ 2x^3\ +\ ax^{2\ }-\ 7x\ +b\\p(1)=2(1)^3+a(1)^2-7(1)+b\\We \ know \ p(1)=3\\3=2+a-7+b\\3=-5+a+b\\a+b=3+5\\a+b=8$

Now putting x=2 as p(2)=19

$p\left(x\right)\ =\ 2x^3\ +\ ax^{2\ }-\ 7x\ +b\\p(2)=2(2)^3+a(2)^2-7(2)+b\\We \ know \ p(2)=19\\19=2(8)+4a-14+b\\19=16+4a-14+b\\4a+b=19-16+14\\4a+b=17$

Solving these equations to find values of a and b

$a+b=8---eq(1)\\4a+b=17---eq(2)$

Subtract both equations

$a+b=8\\4a+b=17\\-\ \ \ - \ \ \ -\\------\\-3a=-9\\a=\frac{-9}{-3}\\a=3$

So, value of a =3

Now finding value of b bu putting value of a in equation 1

$a+b=8\\3+b=8\\b=8-3\\b=5$

So, Value of b =5

7 0

3 years ago

The function q(w) = 3+5(w-1) represents the number of quarters in a bowl on week w. What does the value 5 represent in the situa

Zepler [3.9K]

The value of quarters in the bowl on week 1 was &5

6 0

3 years ago

The<br> 10. A jet flies at an altitude of 52,800 feet.<br> What is the height of the jet in miles?

aliya0001 [1]

Answer:

The Answer is 10 Miles.

Step-by-step explanation:

The jet is 52,800 feet high.

There are 5,280 feet in a mile.

Divide 52,800 by 5280 to find miles:

52800 / 5280 = 10 Miles.

Hope this Helps! Have an Awesome Day!! :-)

5 0

3 years ago

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Use the elimination method to solve the system of equations. Choose the

hichkok12 [17]

Answer:

the ordered pair is (2,-1)

Step-by-step explanation:

We need to solve the system of equations using elimination method

12x - y = 25 eq(1)

9x + y = 17 eq(2)

Adding eq(1) and eq(2)

12x - y = 25

9x + y = 17

___________

21x = 42

x = 42/21

x= 2

Now, putting value of x in equation 1

12x - y = 25

12(2) -y = 25

24 -y = 25

Adding -24 on both sides

24 -y-24 = 25-24

-y = 25-24

-y = 1

Multiply both sides by -1

y = -1

the value of x = 2 and y = -1

So, the ordered pair is (2,-1)

5 0

3 years ago

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The table at the right shows how much Tony earns per hour for his summer jobs one day Tony spends 3 hours running errands he wan

Nadya [2.5K]

Answer:

Step-by-step explanation:

The table at the right shows how much tony earns per hour for his summer jobs one day tony spends 3 hours running errands he wants to use the money from his job to buy two banners.

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7 0

3 years ago

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