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nikklg [1K]
3 years ago
10

8. The sum of four consecutive integers is -22.

Mathematics
1 answer:
steposvetlana [31]3 years ago
5 0

Answer:

he sum of four consecutive integers is -42.

Step-by-step explanation:

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Find the number from the expanded form 3* 10^4 + 7 x 10^2 + 5 x 10^0
Aleonysh [2.5K]

Answer:

A)30705

Step-by-step explanation:

3* 10^4 + 7 x 10^2 + 5 x 10^0

Evaluate the exponent

3⋅10^4+7⋅10^2+5⋅10^0

3⋅10000+7⋅10^2+5⋅10^0

Multiply the numbers

3⋅10000+7⋅10^2+5⋅10^0

30000+7⋅10^2+5⋅10^0

Evaluate the exponent

30000+7⋅10^2+5⋅10^0

30000+7⋅100+5⋅10^0

Multiply the numbers

30000+7⋅100+5⋅10^0

30000+700+5⋅10^0

Evaluate the exponent

30000+700+5⋅10^0

30000+700+5⋅1

Multiply the numbers

30000+700+5⋅1

30000+700+5

Add the numbers

30000+700+5

30705

5 0
3 years ago
8. (02.02 LC)
RSB [31]

Answer:

5 \sqrt{3}  - 20 \sqrt{2}

Step-by-step explanation:

simpify \\  \sqrt{75}  - 4 \sqrt{8}  - 3 \sqrt{32}  \\ from \: the \: above \: get \: two \: numbers \:  \\ such \: that \: when \: multiplied \: gives \\  \: the \: numbers \: inside \: the \: root \\ and \: one \: of \: the \: numers \: should \\ be \: a \: perfect \: square. \\  \sqrt{25 \times 3} - 4 \sqrt{4 \times 2}   -  3\sqrt{16 \times 2}  \\ 5 \sqrt{3}  - 4 \times 2 \sqrt{2}  -3 \times  4\sqrt{2}  \\ 5 \sqrt{3}  - 8 \sqrt{2}  - 12\sqrt{2}  \\ 5 \sqrt{3}  - 20 \sqrt{2}

3 0
2 years ago
PLEASEE HELPP ASAP!
slavikrds [6]

Answer:

Step-by-step explanation:

GIVEN:    dx / dt=5 in./min.  and  dy/ dt=−6 in./min.

FIND:    dz/ dt when x=12 in. and y=9 in.

Use the Pythagorean Theorem to get the equation

x2+y2=z2

Now differentiate this equation with repect to time t getting

D{x2+y2}=D{z2}   ⟶

2xdxdt+2ydydt=2zdzdt   ⟶  

(Multiply both sides of the equation by 1/2.)

x dx/ dt+y dy/ dt= z dz/ dt              (DE)

Now let x=12 and y=9 and solve for z using the Pythagorean Theorem.

tex2html_wrap_inline125

122+92=z2   ⟶   z2=225   ⟶   z=15

Plug in all given rates and values to the equation (DE) getting

(12)(5)+(9)(−6)=(15)dz/ dt   ⟶

6=15dzdt   ⟶

dz/ dt=615=25 in/min.

Hope this answer helps you :)

Have a great day

Mark brainliest

4 0
3 years ago
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