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3 years ago

Help to answer this.

Mathematics

1 answer:

vlada-n [284]3 years ago

5 0

Answer: X = 4.5

Step-by-step explanation:

The proportion is 8/9 for the lines. All we have to do is divide 4 by 8/9 to find the exact value of X.

4/(8/9) = 4.5

I hope this helps!

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Charlotte is on spring break in Mexico. She purchases a souvenir for 153 pesos, which she charges to her credit card. If the exc

KATRIN_1 [288]

1.) multiply the US dollars by the exchange rate $213 x 80.76 = 17,201.88

2. )divide pesos by the exchange rate 158/11.69 = $13.5158 so (a) is the correct answer

So the answer is

$13.52

6 0

4 years ago

Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of

Law Incorporation [45]

Answer:

Step-by-step explanation:

To solve this problem, we will use the following two theorems/definitions:

- Given a vector field F of the form (P(x,y,z),Q(x,y,z),W(x,y,z)) then the divergence of F denoted by $\nabla \cdot F = \frac{\partial P}{\partial x}+\frac{\partial Q}{\partial y}}+\frac{\partial W}{\partial z}$

- (Gauss' theorem)Given a closed surface S, the following applies

$\int_{S} F\cdot \vec{n} dS = \int_{V} \nabla \cdot F dV$

where n is the normal vector pointing outward of the surface and V is the volume bounded by the surface S.

Let us, in our case, calculate the divergence of the given field. We have that

$\nabla \cdot F = \frac{\partial}{\partial x}(x)+\frac{\partial}{\partial y}(2y)+ \frac{\partial}{\partial z}(5z) = 1+2+5 = 8$

Hence, by the Gauss theorem we have that

$\int_{S} F\cdot \vec{n} dS = \int_{V} 8 dV = 8\cdot\text{Volume of V}$

So, we must calculate the volume V bounded by the cube S.

We know that the vertices are located on the given points. We must determine the lenght of the side of the cube. To do so, we will take two vertices that are on the some side and whose coordinates differ in only one coordinate. Then, we will calculate the distance between the vertices and that is the lenght of the side.

Take the vertices (1,1,1) and (1,1-1). The distance between them is given by

$\sqrt[]{(1-1)^2+(1-1)^2+(1-(-1)^2} = \sqrt[]{4} = 2$ .

Hence, the volume of V is $2\cdot 2 \cdot 2 = 8$ . Then, the final answer is

$\int_{S} F\cdot \vec{n} dS =8\cdot 8 = 64$

5 0

3 years ago

When given a graph, the vertical line test can be used to determine functionality. Describe the vertical line test and explain t

diamong [38]

Answer:

The vertical line test is a way for you to see if a graph represents a function. It allows you to identify if any x values have more than one y value.

A graph would be a function if every input (x) has exactly one output (y). A graph would not be a function if an input (x) has more than one output (y).

Step-by-step explanation:

In a function, every input within the domain of the function must have exactly one output. If the graph has an input that has more than one output, then it is not a function. The vertical line test is what allows you to see if a graph is a function or not.

3 0

3 years ago

Read 2 more answers

Which events have a probability of 25 percent? Select three options.

Marta_Voda [28]

Answer:

choosing a green jelly bean out of a bag that contains 2 green jelly beans, 1 red jelly bean, and 5 yellow jelly beans

spinning a number less than 2 on a spinner that has four equal sections numbered from 1 to 4

choosing a spade out of a standard deck of cards that contains 13 hearts, 13 clubs, 13 diamonds, and 13 spades

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

choosing a green jelly bean out of a bag that contains 2 green jelly beans, 1 red jelly bean, and 5 yellow jelly beans

2 green jelly beans in a set of 2+5+1 = 8 jelly beans

2/8 = 0.25.

So this is one of the options.

rolling a number less than 3 on a six-sided die

2 options(1 or 2) out of 6 possible values

2/6 = 0.3333...

So this is not one of the options.

spinning a number less than 2 on a spinner that has four equal sections numbered from 1 to 4

1 options(1) out of four possible sections(1,2,3,4)

1/4 = 0.25

So this is one of the options.

choosing an Oregon state quarter out a bag that contains 4 California state quarters, 3 Oregon state quarters, 6 Texas state quarters, and 3 New York state quarters

3 Oregon quarters out of 4+3+6+3 = 16 quarters

3/16 = 0.1875

Not one of the options

choosing a spade out of a standard deck of cards that contains 13 hearts, 13 clubs, 13 diamonds, and 13 spades

13 cards(spades) out of a set of 52 cards

13/52 = 0.25

So this is the final option

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3 years ago

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What theorem states that if two sides and the included angle of one triangle are congruent to the corresponding parts of another

lianna [129]

The given statement is proved by side-angle-side (SAS) theorem.

Yes, if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle the triangles are congruent.

The statement is proved by SAS theorem

<u>Side-Angle-Side (SAS) theorem: </u>

The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle.

Hence, The given statement is proved by side-angle-side (SAS) theorem.

To read more about Angles

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7 0

1 year ago