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2 years ago

Evaluate the expression 3^4 ÷ (14 − 5) × 2.

Mathematics

1 answer:

Thepotemich [5.8K]2 years ago

7 0

Answer: 18

Step-by-step explanation: Use PEMDAS

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What is the gcf for 14 and 55?

pentagon [3]

The greatest common factor would be 1 because you need to factor both 14 and 55 so factor 14 and you get 2 and 7 factor 55 you get 5 and 11 the the GCF has to be 1
I hope this is helpful

4 0

2 years ago

Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)

Dima020 [189]

Split $C$ into two component segments, $C_1$ and $C_2$ , parameterized by

$\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)$

$\mathbf r_2(t)=(1-t)(6,1)+t(7,0)=(6+t,1-t)$

respectively, with $0\le t\le1$ , where $\mathbf r_i(t)=(x(t),y(t))$ .

We have

$\mathrm d\mathbf r_1=(6,1)\,\mathrm dt$

$\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt$

where $\mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt$

so the line integral becomes

$\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)$

$=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt$

$=\displaystyle\int_0^1(35t^2+55t-24)\,\mathrm dt=\frac{91}6$

6 0

2 years ago

Please explain in steps!

iragen [17]

$3. \: {2 + 4^2} - 4+ 2 \\ = 2 + 16 - 4 + 2 \\ = 18 - 4 + 2 \\ = 14 + 2 \\ = 16 \\ \\ 4. \: {84 + 7}^{2} - 9 + 2 \\ = 91^{2} - 9 + 2 \\ = 8281 - 9 + 2 \\ = 8272 + 2 \\ = 8274 \\ \\ 5. \: {5 ^{2} + 7} + 5 - 6 \\ = 25 + 7 + 5 - 6 \\ = 32 + 5 - 6 \\ = 37 - 6 \\ = 31 \\ \\ 6. \: {4^{2} + 7} + 4 - 10 \\ = 16 + 7 + 4 - 10 \\ = 23 + 4 - 10 \\ = 27 - 10 \\ = 17 \\ \\ 7. \: 2 - {4 + 2}^{2} + 9 \\ = 2 - 6^{2} + 9 \\ = 2 - 36 + 9 \\ = - 34 + 9 \\ = - 25 \\ \\ 8. \: 3 - {6 + 3}^{2} + 9 \\ = 3 - 9^{2} + 9 \\ = 3 - 81 + 9 \\ = - 78 + 9 \\ = - 69 \\ \\ 9. \: {42 + 7}^{2} - 2 + 5 \\ = 49^{2} - 2 + 5 \\ = 2401 - 2 + 5 \\ = 2399 + 5 \\ = 2404 \\ \\ 10. \: {2^{2} + 5} \times 2 - 7 \\ = (4 + 5) \times 2 - 7 \\ = 9 \times 2 - 7 \\ = 18 - 7 \\ = 11 \\ \\ 11. \: 6 \times {66 + 11 - 5}^{2} \\ = 6 \times 77 - 5^{2} \\ = 6 \times 72^{2} \\ = 6 \times 5184 \\ = 31104 \\ \\ 12. \: {78 + 13}^{2} - 8 + 5 \\ = 91^{2} - 8 + 5 \\ = 8281 - 8 + 5 \\ = 8273 + 5 \\ = 8278$

5 0

2 years ago

Help please ASAP I’m not good at this

stepladder [879]

Answer:

y = 0.7x + 12

Step-by-step explanation:

5 0

3 years ago

What is the area, in square feet, of the trapezoid below?

slavikrds [6]

Answer:

68.75

Step-by-step explanation:

Measure the length of the parallel sides and add them together. Then multiply this number by the height of the area. Then multiply by ½ or divide by two to find the square footage of the trapezoid.

13.6 + 5.9= 19.5

19.5 + 8 = 27.5

27.5 x 5 = 137.5

137.5 x 1/2 = 68.75

3 0

2 years ago