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3 years ago

3 to the power of 2+12÷(6-3)×8.

1 answer:

7 0

3^2+12/(6-3)*8
3^2+12/3*8
9+12/3*8
9+4*8
9+32
41

Final answer: 41
Remember to follow pemdas, parentheses, exponents, multiplication and division, followed by addition and subtraction going from left to right.

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Find the size of each of the interior angles in a regular pentagon

natima [27]

There are 108° in each interior angle of a regular pentagon.

6 0

3 years ago

Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (2, 0, −2) to (5, 4, 2) (a) Find a fun

WITCHER [35]

Answer:

Required solution (a) $f(x,y,z)=xyz+3z^2+C$ (b) 40.

Step-by-step explanation:

Given,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k$

(a) Let,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k=f_x \uvec{i} +f_y \uvex{j}+f_z\uvec{k}$

Then,

$f_x=yz,f_y=xz,f_z=xy+6z$

Integrating $f_x$ we get,

$f(x,y,z)=xyz+g(y,z)$

Differentiate this with respect to y we get,

$f_y=xz+g'(y,z)$

compairinfg with $f_y=xz$ of the given function we get,

$g'(y,z)=0\implies g(y,z)=0+h(z)\implies g(y,z)=h(z)$

Then,

$f(x,y,z)=xyz+h(z)$

Again differentiate with respect to z we get,

$f_z=xy+h'(z)=xy+6z$

on compairing we get,

$h'(z)=6z\implies h(z)=3z^2+C$ (By integrating h'(z)) where C is integration constant. Hence,

$f(x,y,z)=xyz+3z^2+C$

(b) Next, to find the itegration,

$\int_C \vec{F}.dr=\int_C \nabla f. d\vec{r}=f(5,4,2)-f(2,0,-2)=(52+C)-(12+C)=40$

3 0

3 years ago

Can u tell me what the answer is plz

yuradex [85]

Answer:

D, B, C, A

Step-by-step explanation:

Solve the equations by combining like terms, isolating the variable, and dividing the equation by the coefficient of the variable.

Doing this, the first equation should be 2, the second equation should be -2, the third equation should be -1, and the last equation should be -6.

Then, we can order them.

8 0

3 years ago

Helppp meee plssss

Volgvan

Answer:

Cost of fish = Php. 60, amount of fish = x kg
Cost of chicken = Php. 120, amount of chicken = y kg
Budget = at most Php. 1200

a) Required inequality (not a system as only one condition is given):

60x + 120y ≤ 1200

Simplified:

x + 2y ≤ 20

The graph is attached

b) Verify ordered pair (10, 7):

10 + 2*7 ≤ 20
24 ≤ 20

False inequality, so this pair is out of solution set

8 0

3 years ago

A box of oat cereal costs $3.90 for 15 ounces. A box of rice of cereal costs $3.30 for 11 ounces. Which box of cereal costs less

Firlakuza [10]

Answer:

The cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.

Step-by-step explanation:

Given:

Cost of 15 ounces of oat cereal box = $3.90

Cost of 11 ounces of rice box = $3.30

To compare the unit prices of the the boxes.

Solution:

Using unitary method to find the unit prices:

If 15 ounce of oat box cost =$3.90

∴ 1 ounce of oat cereal would cost = $\$\frac{3.90}{15}=\$0.26$

∴ Per ounce cost of oat cereal = $0.26

If 11 ounce of rice box cost =$3.30

∴ 1 ounce of rice would cost = $\$\frac{3.30}{11}=\$0.3$

∴ Per ounce cost of rice = $0.3

Difference in unit costs of oat and rice = $\$0.3-\$0.26=\$0.04$

On comparing the the unit costs of oats and rice, we find out that the cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.

3 0

3 years ago