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agasfer [191]
3 years ago
7

Three friends go out for pizza. A slice costs $3.75 a soda costs $2.25. If they each get a soda and a total of 8 slices, how muc

h did they spend altogether
Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0
Answer= 36.75
3.75x 8 = 30
2.25x3= 6.75
6.75+30=36.75
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Consider F and C below. F(x, y) = x4y5i + x5y4j, C: r(t) = t3 − 2t, t3 + 2t , 0 ≤ t ≤ 1 (a) Find a function f such that F = ∇f.
vovikov84 [41]
\mathbf f(x,y)=x^4y^5\,\mathbf i+x^5y^4\,\mathbf j

We want a scalar function f(x,y) whose gradient is equivalent to the vector field. That means

\dfrac{\partial f}{\partial x}=x^4y^5\implies f(x,y)=\dfrac{x^5y^5}5+g(y)
\dfrac{\partial f}{\partial y}=x^5y^4\implies x^5y^4=x^5y^4+\dfrac{\mathrm dg}{\mathrm dy}
\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C

So (a)

f(x,y)=\dfrac{x^5y^5}5+C

which means (b)

\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f(\mathbf r(1))-f(\mathbf r(0))=f(-1,3)-f(0,0)=-\dfrac{243}5-0=-\dfrac{243}5
5 0
3 years ago
Whats a integer ,can someone answer this a short explanation ?
madreJ [45]

Answer:

An Integer is a whole number

Step-by-step explanation:

Integers can be positive, negative, and even zero.

Integers can't be fractions, decimals, ect.

An example of some Integers are:

1, 2, 3, 0, -1, -2 , -3

Hope this helps you out!

3 0
2 years ago
Read 2 more answers
Solve for r. 35r-21<-35r+19
Mnenie [13.5K]

Good morning ☕️

Answer:

r < \frac{4}{7}

Step-by-step explanation:

35r-21 < -35r+19

⇌ 35r + 35r < 19 + 21

⇌ 70r < 40

⇌ r < 40/70

⇌ r < 4/7

_________________________

:)

5 0
3 years ago
What is the area of rhombus ABCD? Enter your answer in the box. Do not round at any steps.
Mrac [35]

Answer:

Area of the rhombus ABCD = 16 square units

Step-by-step explanation:

Area of a rhombus = \frac{1}{2}(\text{Diagonal 1})(\text{Diagonal 2})

From the graph attached,

Diagonal 1 = Distance between the points A and C

Diagonal 2 = Distance between the points B and D

Length of a segment between (x₁, y₁) and (x₂, y₂) = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 }

Diagonal 1 (AC) = \sqrt{(4-0)^2+(-1+1)^2} = 4 units

Diagonal 2(BD) = \sqrt{(2-2)^2+(3+5)^2} = 8 units

Now area of the rhombus ABCD = \frac{1}{2}(\text{AC})(\text{BD})

                                                       = \frac{1}{2}\times 4\times 8

                                                       = 16 units²

Therefore, area of the given rhombus is 16 units².

5 0
3 years ago
1/2(4x-2)-2/3(6x+9) greater or equal to 4
Simora [160]
1/2(4x-2)-2/3(6x+9)
(2x-1)-(4x+6)
2x-1-4x+62x-4x-1+6
-2x+5=2.5
So I believe that it is greater than 4
8 0
3 years ago
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