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3 years ago

A soup can has a height of 4 inches and a radius of 2.5 inches. What's the area of

Mathematics

1 answer:

Digiron [165]3 years ago

3 0

Answer:

The lateral surface can be thought of as the crossectional area of the surface integral over dA such that
$lateral \: = 2\pi \times r \times h \\ given \: that \: formula \: : \\ lateral = 2\pi \times (2.5)(4) \\ \\ 2\pi \times 10 \\ 20 \times \pi \\ \\ lateral=62.8$

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DIscrete Math

Daniel [21]

Answer:

Step-by-step explanation:

As the statement is ‘‘if and only if’’ we need to prove two implications

$f : X \rightarrow Y$ is surjective implies there exists a function $h : Y \rightarrow X$ such that $f\circ h = 1_Y$ .
If there exists a function $h : Y \rightarrow X$ such that $f\circ h = 1_Y$ , then $f : X \rightarrow Y$ is surjective

Let us start by the first implication.

Our hypothesis is that the function $f : X \rightarrow Y$ is surjective. From this we know that for every $y\in Y$ there exist, at least, one $x\in X$ such that $y=f(x)$ .

Now, define the sets $X_y = \{x\in X: y=f(x)\}$ . Notice that the set $X_y$ is the pre-image of the element $y$ . Also, from the fact that $f$ is a function we deduce that $X_{y_1}\cap X_{y_2}=\emptyset$ , and because $f$ the sets $X_y$ are no empty.

From each set $X_y$ choose only one element $x_y$ , and notice that $f(x_y)=y$ .

So, we can define the function $h:Y\rightarrow X$ as $h(y)=x_y$ . It is no difficult to conclude that $f\circ h(y) = f(x_y)=y$ . With this we have that $f\circ h=1_Y$ , and the prove is complete.

Now, let us prove the second implication.

We have that there exists a function $h:Y\rightarrow X$ such that $f\circ h=1_Y$ .

Take an element $y\in Y$ , then $f\circ h(y)=y$ . Now, write $x=h(y)$ and notice that $x\in X$ . Also, with this we have that $f(x)=y$ .

So, for every element $y\in Y$ we have found that an element $x\in X$ (recall that $x=h(y)$ ) such that $y=f(x)$ , which is equivalent to the fact that $f$ is surjective. Therefore, the prove is complete.

3 0

3 years ago

Identify the graph described by the function p(x)=x/10 for x=1,2,3,4

san4es73 [151]

Answer:

Graph A is correct

Step-by-step explanation:

p(x)= x/10

x= 1, 2, 3, 4

Plug in x values in p(x)

when x=1 , then P(1) = 1/10

When x=2 , then P(2) = 2/10

When x=3 , then P(3) = 3/10

When x=4 , then P(4) = 4/10

In the graph y axis has 2/10 , 4/10 , 6/10...

1/10 lies between 0 and 2/10

3/10 lies between 2/10 and 4/10

Graph A is correct

7 0

4 years ago

80, 84, 79, 44, 87, 73, 89, 90, 82, 89, 93, 97, 77, and 71 whats the mean

Contact [7]

Answer:

sum up the numbers and divide by the numbers of values.

80+84+79+44+87+73+89+90+82+89+93+97+77+71 / 14

1135/14

= 81•1 is the mean

5 0

3 years ago

What is 14x + 9y + 6x<br><br><br><br> fastfastfastfast

Fudgin [204]

Answer:

20x+9y

Step-by-step explanation:

add the numbers that have the same variable(x in this problem)this is also called combining like terms. Then put the other numbers that have different variables. hope this helped

4 0

3 years ago

The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% p

elena-s [515]

Make 2 equations from the question first
x is the number of pints for type 1
y is the number of pints for type 2

The equation
x + y = 120
60% x + 85% y = 65% (x + y)

Solve the equation
From the 2nd equation
0.6x + 0.85y = 0.65(x + y)
0.6x + 0.85y = 0.65x + 0.65y
0.85y - 0.65y = 0.65x - 0.6x
0.2y = 0.05x
y = 4x

From the 1st equation
x + y = 120
x + 4x = 120
5x = 120
x = 24

y = 4x
y = 96

The first type should be 24 pints, the second type should be 96 pints

5 0

3 years ago