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3 years ago

Answer options 2 3 4 5

Mathematics

1 answer:

777dan777 [17]3 years ago

7 0

Answer:

k = 5

Step-by-step explanation:

given f(x) then f(x) + k represents a vertical translation of f(x)

• If k > 0 then a shift of k units up

• If k < 0 then a shift of k units down

f(x) crosses the y- axis at - 2

g(x) crosses the y- axis at 3

Thus g(x) is 5 units vertically up from f(x)

since g(x) = f(x) + k → then k = 5

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A rectangular box has length 20cm, width 6cm and height 4cm. find how many cubes of size 2cm that will fit into the box.

Papessa [141]

Answer:

$\boxed{\pink{\sf The \ number \ of \ cubes \ that \ can \ be \ fitted \ is 60 .}}$

Step-by-step explanation:

Given dimensions of the box = 20cm × 6cm × 4cm .

Dimension of the cube = 2cm × 2cm × 2cm .

Therefore the number of cubes that can be fitted into the box will be equal to the Volume of box divided by the Volume of the cube. So ,

$\boxed{\red{\bf \implies No. \ of \ cubes \ = \dfrac{Volume \ of \ box}{Volume \ of \ cube }}}$

$\bf \implies n_{cubes} = \dfrac{20cm \times 6cm \times 4cm .}{2cm \times 2cm \times 2cm } \\\\\bf\implies n_{cubes} = 10 \ times 3cm \times 2cm \\\\\implies \boxed{\bf n_{cubes}= 60 }$

<h3>Hence the number of cubes that can be fitted in the box is 60 .</h3>

6 0

3 years ago

Now suppose instead that Jane withdraws $500 from her checking account and uses $300 of this money to pay her federal income tax

zysi [14]

Answer:

Step-by-step explanation:

a. Money held by individuals in savings accounts is part of the M2 money supply, but not part ofthe M1 money supply. Therefore, when Jane withdraws $500 cash from her savings account,the M1 money supply increases by $500. However, the M2 money supply does not changebecause the M1 money supply is included as part of the M2 money supply.b. Money held by banks and governments is not included as part of the money supply. Therefore,when Jane uses $300 to pay her income tax to the U.S. Treasury, that total of $300 is taken out ofboth the M1 and M2 money supplies. When Jane deposits the remaining cash ($80) into hersavings account, the M1 money supply is reduced by that amount, but it does not affect the M2money supply. Therefore, Jane's actions cause the M2 money supply to change by $300 (theamount used to pay her taxes) and the M1 money supply to change by $380 (the amount used topay her taxes plus the amount that was deposited into her savings account). Note that it does notmatter that Jane no longer has the $120 she used to pay for the gold clubs, as the funds remainsin someone else's checking account. So this amount is neither removed from the M1 moneysupply nor the M2 money supply.NumericResponseDifficulty: 03 HardLearning Objective: 1402 List anddescribe the components of the U.S.money supply.5000380300References

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3 years ago

At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is

disa [49]

Answer:

At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is 53°. Find the height of the tree to the nearest foot.

I got 50xtan53 = 66.35 nearest foot ? would I use tan or sin since I'm finding the foot of the tree

Step-by-step explanation:

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3 years ago

Water is flowing into a 50-gallon bathtub at a rate of 2.3 gallons per minute (gpm). To the nearest minute, how long will it tak

Contact [7]

It would be b. If you divide the 2

4 0

3 years ago

I️ need help with the your turn part

Helen [10]

Because the angle is a straight angle, it means that the total of DEC and CEF would be 180º. (CEF + DEF = 180º) With this information we can make the equasion:

(11x - 12) + (2x + 10) = 180

first, to find x:

to simplify (11x - 12) + (2x + 10) = 180, you add the two equations:

13x - 2 = 180

13x = 182

x = 182/13

x = 14

Now, insert the x (which we found that is 14) to each equation.

DEC: (11 x 14 - 12)

= 154 - 12 = 142

m DEC is 142º.

CEF: (2 x 14 + 10)

=28 + 10 = 38

m CEF is 38º.

check: (CEF + DEC = 180º)

38 + 142 = 180

therefore, the answers are correct :D

7 0

3 years ago